Question

Identify functions symmetric with respect to the line y=x:

a) Linear functions
b) Quadratic functions
c) Exponential functions
d) Logarithmic functions

Answer 1

Linear functions can be symmetric with respect to the line y=x, but quadratic, exponential, and logarithmic functions cannot.

Step-by-step explanation:

Linear functions that are symmetric with respect to the line y=x have the same y-values when you swap the x and y coordinates. For example, the linear function y=3x is symmetric with respect to the line y=x because when you swap the x and y coordinates, you get x=3y. Quadratic functions are not symmetric with respect to the line y=x.

Exponential functions and logarithmic functions are not symmetric with respect to the line y=x.